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224412203424 = 2536734889957
BaseRepresentation
bin1101000100000000000…
…0100111100110100000
3210110020200011002222210
43101000000213212200
512134044011002144
6251032112202120
722133100153513
oct3210000474640
9713220132883
10224412203424
1187199924a32
12375ab239340
1318214b40566
14ac0c37ad7a
155c86739ab9
hex34400279a0

224412203424 has 48 divisors (see below), whose sum is σ = 597874320288. Its totient is φ = 73687587072.

The previous prime is 224412203417. The next prime is 224412203459. The reversal of 224412203424 is 424302214422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2244122034242 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 224412203391 and 224412203400.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17438547 + ... + 17451410.

It is an arithmetic number, because the mean of its divisors is an integer number (12455715006).

Almost surely, 2224412203424 is an apocalyptic number.

224412203424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

224412203424 is an abundant number, since it is smaller than the sum of its proper divisors (373462116864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

224412203424 is a wasteful number, since it uses less digits than its factorization.

224412203424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34890037 (or 34890029 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 224412203424 its reverse (424302214422), we get a palindrome (648714417846).

The spelling of 224412203424 in words is "two hundred twenty-four billion, four hundred twelve million, two hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 804 1072 1608 2144 3216 6432 34889957 69779914 104669871 139559828 209339742 279119656 418679484 558239312 837358968 1116478624 1674717936 2337627119 3349435872 4675254238 7012881357 9350508476 14025762714 18701016952 28051525428 37402033904 56103050856 74804067808 112206101712 224412203424